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Exact Solutions of the Bloch Equations of a Two-Level Atom Driven by the Generalized Double Exponential Quotient Pulses with Dephasing

Author

Listed:
  • Sofiane Grira

    (Department of Applied Sciences and Mathematics, Abu Dhabi University, Abu Dhabi 59911, United Arab Emirates)

  • Nadia Boutabba

    (Institute of Applied Technology, Fatima College of Health Sciences, Abu Dhabi 24162, United Arab Emirates)

  • Hichem Eleuch

    (Department of Applied Physics and Astronomy, University of Sharjah, Sharjah 27272, United Arab Emirates
    Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843, USA)

Abstract

We theoretically investigate a two-level atom driven by a time-dependent external field with a generalized double exponential temporal shape, in the presence of dephasing. Therefore, we provide exact analytical solutions for the population inversion, the real and the imaginary parts of the coherence for a family of chirped and time-dependent laser waveforms. We demonstrate that the remaining atomic population inversion can be controlled by the manipulation of the pulse’s shape structure.

Suggested Citation

  • Sofiane Grira & Nadia Boutabba & Hichem Eleuch, 2022. "Exact Solutions of the Bloch Equations of a Two-Level Atom Driven by the Generalized Double Exponential Quotient Pulses with Dephasing," Mathematics, MDPI, vol. 10(12), pages 1-12, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:2105-:d:841061
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    References listed on IDEAS

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    1. Yu, Qiang & Turner, Ian & Liu, Fawang & Vegh, Viktor, 2022. "The application of the distributed-order time fractional Bloch model to magnetic resonance imaging," Applied Mathematics and Computation, Elsevier, vol. 427(C).
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